# Graphene bilayer Moire lattice with Rashba spin-orbit coupling

Research output: Working paper/PreprintPreprint

## Abstract

We consider twisted bilayer graphene in the presence of Rashba spin-orbit coupling and explore the physics of Moir\'e spintronics. The electronic charge density has a sharp step right at the magic angles $\theta_m$. As a result, local spin observables (polarization and equilibrium spin currents) have sharp peaks (of width about a small fraction of 1$^\circ$) as a function of the twist angle $\theta$, and abrupt sign reversals at $\theta_m$. Thereby, the magic angle can be determined in an unprecedented accuracy. In the first chiral limit, the spin currents vanish, but the peculiar pattern of the polarization at $\theta_m$ persists. Major differences result in spintronics of twisted bilayer graphene at magic angles as compared with the spintronics of single and/or {\it un-twisted} bilayer graphene. Thus, in addition to the numerous spectacular physical phenomena already reported in twisted bilayer graphene at magic angles, new phenomena also occur in twistronic spintronics.
Original language English Published - 29 Sep 2021

## Keywords

• cond-mat.mes-hall
• mesoscale and nanoscale

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